import LeanCanny import LeanCanny.Algebra.AffineMacaulayMatrix import LeanCanny.Algebra.BerkowitzCoefficientPower import LeanCanny.Algebra.BoundedIntegerCoordinates import LeanCanny.Algebra.CannyCoefficientDigits import LeanCanny.Algebra.CannyCoefficientRank import LeanCanny.Algebra.CannyResultantTaskSource import LeanCanny.Algebra.CannySuppliedMetadata import LeanCanny.Algebra.CoerciveGramEliminant import LeanCanny.Algebra.DenominatorClearingSign import LeanCanny.Algebra.DyadicTarskiSpace import LeanCanny.Algebra.IntegerProjectionCoordinates import LeanCanny.Algebra.MacaulayDeformationSign import LeanCanny.Algebra.MacaulayLastParameterDegree import LeanCanny.Algebra.MatrixPowerDecoding import LeanCanny.Algebra.ParameterCoordinate import LeanCanny.Algebra.PreprocessedPairReusable import LeanCanny.Algebra.PrimitivePairNested import LeanCanny.Algebra.RationalCoordinateSpace import LeanCanny.Algebra.RecursiveMatrixPowerSpace import LeanCanny.Algebra.ResultantSpaceEntries import LeanCanny.Algebra.SymbolicBalancedFiniteSigns import LeanCanny.Algebra.SymbolicCoordinateClearSpace import LeanCanny.Algebra.SymbolicFixedTablePairSpace import LeanCanny.Algebra.SymmetricRecoveryDegeneracy import LeanCanny.ETR.CompactCoefficientZero import LeanCanny.ETR.CompactSourceCoefficient import LeanCanny.ETR.IndexedRationalSubstitution import LeanCanny.ETR.SourceDegreeSpace import LeanCanny.ETR.TubeCharacteristicCriterion import LeanCanny.ETR.TubeCharacteristicPolynomialSpace import LeanCanny.ETR.TubeCharacteristicSurjectivity import LeanCanny.ETR.TubeCoefficientDecisions import LeanCanny.ETR.TubeCoordinateAnnihilatorSigns import LeanCanny.ETR.TubeLevelDegreeBounds import LeanCanny.ETR.TubeMacaulayHomotopyDeterminant import LeanCanny.ETR.TubeMacaulayKoszul import LeanCanny.ETR.TubeMacaulayKoszulExact import LeanCanny.ETR.TubeMacaulayLocalizedKoszul import LeanCanny.ETR.TubeMacaulayUniversal import LeanCanny.ETR.TubeRationalLanguages import LeanCanny.ETR.TubeRegularSingularIdeal import LeanCanny.ETR.TubeSimpleSampling import LeanCanny.ETR.TubeUniformRationalSamplingSource import LeanCanny.Geometry.EffectiveRegularPolynomialLevels import LeanCanny.Geometry.TubeIntegerDirections /-! # Additional algebraic and geometric constructions These developments are retained independently of the completed coercive ETR proof: compact tubes, generic projections, nonsingular sampling, and additional elimination and coordinate-recovery results. Import this module to also obtain the completed theorem. `lake build LeanCannyAlternatives` checks this collection. -/